460827264 has 64 divisors (see below), whose sum is σ = 1277317440. Its totient is φ = 146927616.

The previous prime is 460827251. The next prime is 460827277. The reversal of 460827264 is 462728064.

It is an interprime number because it is at equal distance from previous prime (460827251) and next prime (460827277).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17257 + ... + 34920.

It is an arithmetic number, because the mean of its divisors is an integer number (19958085).

Almost surely, 2^460827264 is an apocalyptic number.

It is an amenable number.

460827264 is an abundant number, since it is smaller than the sum of its proper divisors (816490176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

460827264 is a wasteful number, since it uses less digits than its factorization.

460827264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52217 (or 52205 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 460827264 is about 21466.8876179105. The cubic root of 460827264 is about 772.4067406610.

The spelling of 460827264 in words is "four hundred sixty million, eight hundred twenty-seven thousand, two hundred sixty-four".